30027044100000 has 576 divisors, whose sum is σ = 100206426378240. Its totient is φ = 7871299200000.

The previous prime is 30027044099993. The next prime is 30027044100023. The reversal of 30027044100000 is 144072003.

It is a self number, because there is not a number n which added to its sum of digits gives 30027044100000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4295096505 + ... + 4295103495.

It is an arithmetic number, because the mean of its divisors is an integer number (173969490240).

Almost surely, 2^{30027044100000} is an apocalyptic number.

30027044100000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30027044100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50103213189120).

30027044100000 is an abundant number, since it is smaller than the sum of its proper divisors (70179382278240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30027044100000 is a wasteful number, since it uses less digits than its factorization.

30027044100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

Adding to 30027044100000 its reverse (144072003), we get a palindrome (30027188172003).

The spelling of 30027044100000 in words is "thirty trillion, twenty-seven billion, forty-four million, one hundred thousand".